Details

Time bar (total: 2.4s)

analyze225.0ms (9.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample17.0ms (0.7%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify159.0ms (6.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
078210
178210

prune13.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite14.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
6×distribute-lft-out_binary64
5×associate-/r*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
4×associate-/l*_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64
2×associate-/l/_binary64 associate-/r/_binary64
1×flip3-+_binary64 add-log-exp_binary64 pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 flip-+_binary64
Counts
1 → 45
Calls

1 calls:

9.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

series56.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

56.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

simplify65.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05053802

prune44.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New42648
Fresh000
Picked101
Done000
Total43649
Error
0.0b
Counts
49 → 6
Compiler

Compiled 753 to 187 computations (75.2% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite37.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
93×*-un-lft-identity_binary64
61×add-sqr-sqrt_binary64
60×times-frac_binary64
52×exp-prod_binary64
35×add-cube-cbrt_binary64
27×log-pow_binary64
16×distribute-lft-out_binary64
13×difference-of-squares_binary64 distribute-lft-out--_binary64
6×associate-/r/_binary64
5×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 pow1_binary64 associate-/l*_binary64
3×flip3--_binary64 log-prod_binary64 div-inv_binary64 flip--_binary64
2×associate-/l/_binary64
1×flip3-+_binary64 cbrt-undiv_binary64 rem-log-exp_binary64 rem-exp-log_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 flip-+_binary64
Counts
3 → 117
Calls

3 calls:

10.0ms
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
9.0ms
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
8.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

series156.0ms (6.5%)

Counts
3 → 9
Calls

3 calls:

62.0ms
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
52.0ms
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
43.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

simplify81.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049891784
149891784

prune86.0ms (3.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1251126
Fresh145
Picked011
Done000
Total1266132
Error
0.0b
Counts
132 → 6
Compiler

Compiled 2051 to 446 computations (78.3% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite27.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
67×*-un-lft-identity_binary64
45×add-sqr-sqrt_binary64
40×times-frac_binary64
27×add-cube-cbrt_binary64
26×pow-unpow_binary64
11×distribute-lft-out_binary64
9×difference-of-squares_binary64 distribute-lft-out--_binary64
8×add-exp-log_binary64
7×log-prod_binary64
6×unpow-prod-down_binary64
5×associate-/r*_binary64 add-cbrt-cube_binary64
4×pow1_binary64 rem-log-exp_binary64 associate-/r/_binary64 associate-/l*_binary64 pow-exp_binary64
3×add-log-exp_binary64
2×pow-to-exp_binary64 associate-/l/_binary64 flip3--_binary64 sqr-pow_binary64 e-exp-1_binary64 div-inv_binary64 flip--_binary64
1×flip3-+_binary64 cbrt-undiv_binary64 pow-pow_binary64 log-pow_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 flip-+_binary64
Counts
3 → 105
Calls

3 calls:

8.0ms
(pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
8.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
3.0ms
(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

series178.0ms (7.5%)

Counts
3 → 9
Calls

3 calls:

71.0ms
(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
70.0ms
(pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
37.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

simplify69.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049351750
149351750

prune75.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh044
Picked011
Done011
Total1146120
Error
0.0b
Counts
120 → 6
Compiler

Compiled 1883 to 421 computations (77.6% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite47.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
150×*-un-lft-identity_binary64
100×times-frac_binary64
98×add-sqr-sqrt_binary64
58×cbrt-prod_binary64
56×add-cube-cbrt_binary64
52×unpow-prod-down_binary64 cube-prod_binary64
26×distribute-lft-out_binary64
21×difference-of-squares_binary64 distribute-lft-out--_binary64
10×associate-/r/_binary64
8×add-exp-log_binary64 add-cbrt-cube_binary64
5×associate-/r*_binary64 flip3--_binary64 div-inv_binary64 flip--_binary64
4×pow1_binary64 associate-/l*_binary64
3×pow-unpow_binary64 add-log-exp_binary64
2×associate-/l/_binary64 cbrt-undiv_binary64 sqr-pow_binary64 cube-div_binary64 rem-cube-cbrt_binary64 div-exp_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64
1×cbrt-div_binary64 pow-to-exp_binary64 flip3-+_binary64 rem-cbrt-cube_binary64 pow1/3_binary64 pow-pow_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
Counts
3 → 185
Calls

3 calls:

11.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
10.0ms
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
8.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

series156.0ms (6.5%)

Counts
3 → 9
Calls

3 calls:

57.0ms
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
56.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
42.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

simplify65.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
054543740

prune134.0ms (5.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1940194
Fresh033
Picked011
Done022
Total1946200
Error
0.0b
Counts
200 → 6
Compiler

Compiled 3110 to 987 computations (68.3% saved)

regimes86.0ms (3.6%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Compiler

Compiled 691 to 401 computations (42% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01914
11914

end0.0ms (0%)

sample567.0ms (23.7%)

Algorithm
1×intervals
Results
219.0ms8000×body128valid
Compiler

Compiled 233 to 135 computations (42.1% saved)

Profiling

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